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Gennadij [26K]
3 years ago
10

X+4y=8 2x-5y=29 Answer please

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0
\left \{ {{x+4y=8\ \ | multiply\ by\ -2} \atop {2x-5y=29\ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \\\\  \left \{ {{-2x-8y=-16} \atop {2x-5y=29}} \right. \\+-----\\ add\ both\ equations\\\\
-13y=13\ \ \ | divide\ by \ -13\\\\
y=-1\\\\
x=8-4y=8-4(-1)=8+4=12\\\\
x=12
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Answer:

x = ±2√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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  4. Multiplication
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x² - 5 = 75

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 5 on both sides:                                    4x² = 80
  2. [Division Property of Equality] Divide 4 on both sides:                                  x² = 20
  3. [Equality Property] Square root both sides:                                                    x = ±2√5
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